3973361 has 12 divisors (see below), whose sum is σ = 4664880. Its totient is φ = 3374280.

The previous prime is 3973339. The next prime is 3973381. The reversal of 3973361 is 1633793.

3973361 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3973361 - 2⁶ = 3973297 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3973331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6110 + ... + 6728.

It is an arithmetic number, because the mean of its divisors is an integer number (388740).

Almost surely, 2^3973361 is an apocalyptic number.

It is an amenable number.

3973361 is a deficient number, since it is larger than the sum of its proper divisors (691519).

3973361 is a wasteful number, since it uses less digits than its factorization.

3973361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764 (or 757 counting only the distinct ones).

The product of its digits is 10206, while the sum is 32.

The square root of 3973361 is about 1993.3291248562. The cubic root of 3973361 is about 158.3869302084.

It can be divided in two parts, 3973 and 361, that added together give a palindrome (4334).

The spelling of 3973361 in words is "three million, nine hundred seventy-three thousand, three hundred sixty-one".